14085760 has 64 divisors (see below), whose sum is σ = 36285480. Its totient is φ = 5197824.

The previous prime is 14085739. The next prime is 14085769. The reversal of 14085760 is 6758041.

14085760 = T₃₉₉ + T₄₀₀ + ... + T₅₂₈.

14085760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7974976 + 6110784 = 2824^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14085769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7474 + ... + 9166.

Almost surely, 2^14085760 is an apocalyptic number.

14085760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142740).

14085760 is an abundant number, since it is smaller than the sum of its proper divisors (22199720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14085760 is a wasteful number, since it uses less digits than its factorization.

14085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 14085760 is about 3753.1000519570. The cubic root of 14085760 is about 241.5053530413.

The spelling of 14085760 in words is "fourteen million, eighty-five thousand, seven hundred sixty".